Electromagnetic shielding : theory and applications.: theory and applications. (2022)

• Record Type: Book
• Authors: Celozzi, Salvatore; Araneo, Rodolfo; Burghignoli, Paolo; Lovat, Giampiero
• Contents: Contents 1 Electromagnetics behind Shielding 7 1.1 De_nitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Notation, Symbology, and Acronyms . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Macroscopic Electromagnetism and Maxwell's Equations . . . . . . . . . . . . . 9 1.4 Constitutive Relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5 Discontinuities and Singularities . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.6 Initial Conditions, Boundary Conditions, and Causality . . . . . . . . . . . . . 16 1.7 Poynting's Theorem and Energy Considerations . . . . . . . . . . . . . . . . . . 17 1.8 Fundamental Theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.8.1 Uniqueness Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.8.2 Reciprocity Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 1.8.3 Equivalence Principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.8.4 Duality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.8.5 Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.8.6 Image Principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 1.8.7 Babinet's Principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 1.9 Wave Equations, Helmholtz's Equations, Potentials, and Green's Functions . . 26 1.10 Basic Shielding Mechanisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 1.11 Source Inside or Outside the Shielding Structure and Reciprocity . . . . . . . . 30 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2 Shielding Materials 33 2.1 Standard Metallic and Ferromagnetic Materials . . . . . . . . . . . . . . . . . . 33 2.2 Ferrimagnetic Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 2.3 Ferroelectric Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 2.4 Thin Films and Conductive Coatings . . . . . . . . . . . . . . . . . . . . . . . . 41 2.5 Other Materials Suitable for EM Shielding Applications . . . . . . . . . . . . . 43 2.5.1 Structural Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.5.2 Conductive Polymers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.5.3 Conductive Glasses and Transparent Materials . . . . . . . . . . . . . . 43 2.5.4 Conductive (and Ferromagnetic or Ferrimagnetic) Papers . . . . . . . . 44 2.6 Special Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 2.6.1 Metamaterials and Chiral Materials . . . . . . . . . . . . . . . . . . . . 44 2.6.2 Composite Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 2.6.3 Graphene . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 1 2 CONTENTS 2.6.4 Other Nanomaterials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 2.6.5 High-Temperature Superconductors . . . . . . . . . . . . . . . . . . . . 50 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3 Figures of Merit for Shielding Con_gurations 57 3.1 (Local) Shielding E_ectiveness . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 3.2 The Global Point of View . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 3.3 Other Proposals of Figures of Merit . . . . . . . . . . . . . . . . . . . . . . . . 60 3.4 Energy-Based, Content-Oriented De_nition . . . . . . . . . . . . . . . . . . . . 64 3.5 Performance of Shielded Cables . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 4 Shielding E_ectiveness: Plane Waves 67 4.1 Electromagnetic Plane Waves: De_nitions and Properties . . . . . . . . . . . . 67 4.2 Uniform Plane Waves Incident on a Planar Shield . . . . . . . . . . . . . . . . . 69 4.2.1 Transmission-Line Approach . . . . . . . . . . . . . . . . . . . . . . . . 69 4.2.2 The Single Planar Shield . . . . . . . . . . . . . . . . . . . . . . . . . . 72 4.2.3 Multiple (or Laminated) Shields . . . . . . . . . . . . . . . . . . . . . . 76 4.3 Plane Waves Normally Incident on Cylindrical Shielding Surfaces . . . . . . . . 78 4.4 Plane Waves against Spherical Shields . . . . . . . . . . . . . . . . . . . . . . . 85 4.5 Extension of the TL Analogy to Near-Field Sources . . . . . . . . . . . . . . . . 86 4.5.1 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 5 Shielding E_ectiveness: Near-Field Sources 101 5.1 Spectral-Domain Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 5.1.1 Maxwell's Equations in the Spectral Domain . . . . . . . . . . . . . . . 102 5.1.2 TM/TE Decomposition and Equivalent Transmission Lines . . . . . . . 103 5.1.3 Spectral Dyadic Green's Functions . . . . . . . . . . . . . . . . . . . . . 107 5.1.4 Field Evaluation in the Spatial Domain . . . . . . . . . . . . . . . . . . 110 5.2 LF Magnetic Shielding of Metal Plates: Parallel Loop . . . . . . . . . . . . . . 112 5.2.1 Spectral-Domain Approach . . . . . . . . . . . . . . . . . . . . . . . . . 113 5.2.2 Vector Magnetic-Potential Approach . . . . . . . . . . . . . . . . . . . . 117 5.2.3 Approximate Formulations . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.3 LF Magnetic Shielding of Metal Plates: Perpendicular Loop . . . . . . . . . . . 120 5.4 LF Magnetic Shielding of Metal Plates: Parallel Current Line . . . . . . . . . . 123 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 6 Transient Shielding 131 6.1 Performance Parameters: De_nitions and Properties . . . . . . . . . . . . . . . 131 6.2 Transient Sources: Plane Waves and Dipoles . . . . . . . . . . . . . . . . . . . . 134 6.2.1 Transient Uniform Plane Waves . . . . . . . . . . . . . . . . . . . . . . . 134 6.2.2 Transient Dipoles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 6.3 Numerical Solutions via Inverse-Fourier Transform . . . . . . . . . . . . . . . . 138 6.4 Analytical Solutions in Canonical Con_gurations . . . . . . . . . . . . . . . . . 139 6.4.1 Transient Plane Waves on a Single-Layer Screen . . . . . . . . . . . . . 139 3 6.4.2 Transient Dipoles: The Cagniard{de Hoop Method . . . . . . . . . . . . 143 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 7 Numerical Methods for Shielding Analyses 157 7.1 Finite-Element Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158 7.2 Method of Moments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 7.3 Finite-Di_erence Time-Domain Method . . . . . . . . . . . . . . . . . . . . . . 190 7.4 Finite Integration Technique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 7.5 Transmission-Line Matrix Method . . . . . . . . . . . . . . . . . . . . . . . . . 206 7.6 Partial Element Equivalent Circuit Method . . . . . . . . . . . . . . . . . . . . 210 7.7 Test Case for Comparing Numerical Methods . . . . . . . . . . . . . . . . . . . 216 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218 8 Apertures in Planar Metal Screens 233 8.1 Historical Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233 8.2 Statement of the Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 8.3 Low-Frequency Analysis: Transmission through Small Apertures . . . . . . . . 235 8.4 The Small Circular Aperture . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 8.4.1 Bethe's Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 8.4.2 Spectral-Domain Formulation . . . . . . . . . . . . . . . . . . . . . . . . 242 8.5 Small Noncircular Apertures . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243 8.6 Finite Num
• Edition: Second edition
• Publisher Details: Hoboken : Wiley-IEEE Press
• Publication Date: 2022
• Extent: 1 online resource
• Subjects: 621.3; Shielding (Electricity); Magnetic shielding
• Languages: English
• ISBNs: 9781119736301
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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